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All quadratic equations can be written in the form ax² + bx + c = 0, where a, b and c are constants. Firstly, check whether you can easily factorise the equation into the form (x + p)(x + q) = ...

f(x) = 2x² - 12x +7

• First take out a factor of 2 so that we have the coefficient of x² as 1.        f(x) = 2[x² - 6x +7/2]

• Next, complet...

The first step that we need to take is to take all the 'x' terms to one side of the inequality. In this case, we can subtract '3x' from both sides to obtain 2x+3 ≤ -6. Then we want to take all the non- x ...

a) This question tests you on using fractions, brackets and quadratic equations.  We should start by trying to make it into a form we know how to deal with. This will be by the balance method. If we multi...

Multiply by 4-y   => t(4-y)=y+2 Expand the brackets  => 4t-ty=y+2 Get all the y's on the same side => 4t-2=ty+y Factor out the y  => 4t-2=(t+1)y Divide by t+1  => (4t-2)/(t+1)=y